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. Author manuscript; available in PMC: 2017 Jun 1.
Published in final edited form as: Invest Radiol. 2016 Jun;51(6):349–364. doi: 10.1097/RLI.0000000000000274

Figure 1.

Figure 1

(a) Fully sampled k-space is converted to an image via the Fourier Transform. (b) Cartesian undersampling by factor of 2, where every other line of k-space is missing. The resulting image is corrupted by aliasing or fold-over artifacts. (c) Random Cartesian undersampling. If k-space points are skipped in such random fashion, the resulting aliasing artifacts no longer appear as distinct replicas of the image (as in (b)), but instead as blurring or noise-like artifacts. This type of sampling is typically not realizable in 2D. (d) Radial undersampling by factor of 9. The resulting image contains streak artifacts due to the undersampling, but the bulk of the image is recognizable since the center of k-space is well sampled.